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Finding the Third Proportional to 180,249.50 and 383,797

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Solution

The third proportional to 180,249.50 and 383,797 is: 817,201.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,249.50 : 383,797 = 383,797 : x
  2. Step 2: Convert to fraction form
    180,249.50/383,797 = 383,797/x
  3. Step 3: Cross multiply
    180,249.50x = 383,797 × 383,797
  4. Step 4: Simplify right side
    180,249.50x = 147,300,137,209
  5. Step 5: Solve for x
    x = 147,300,137,209/180,249.50
  6. Step 6: Final answer
    x = 817,201.36

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.